An Approach to Non-Abelian Cyclotomic Fields

Shinji Ishida

We mainly study a polynomial $f_{1,n}(x)=x^{n-1}+2x^{n-2}+3x^{n-3}+\cdots +k{x}^{n-k}+\cdots +(n-1)x+n$ over $\mathbb{Z}$ and the Galois group of the minimal splitting fi…